Let V₁ = 3 B-B-B and V3 = 0 Av = 3 = be eigenvectors of the matrix A which correspond to the eigenvalues A₁ = -2, A₂= 0, and A3 = 4, respectively, and let -1 FET V = -1 Express v as a linear combination of V₁, V₂, and V3, and find Av. V= v₁+ V₂+ V3- 2

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A: Proceed as shown

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A: We will use diagonalization of matrix and its properties to find required vector

Q: d. Let A = 3 and the vectors 2 are eigenvectors of the matrix A. Find the corresponding eigenvalues.

A: Answer

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A: We have to find a  matrix that has eigenvalues , with the corresponding eigenvectorsWe know thatIf A…

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Q: orthogonally diagonalize A

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A: Diagonal matrix: A matrix whose non diagonal entries are zero. aij=0i≠jci=j

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Q: Let A be a 3x3 symmetric matrix. Assume that A has two eigenvalues: A₁ = 0, and X₂ = 2. The vectors…

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